The Research On The Modeling And Implementation Of The Optimization Problems In High School Mathematics Modeling

With the continuous development of science and technology and the continuous improvement of education level, mathematics application ability more and more get people’s attention. Therefore, it is necessary to carry out the mathematical modeling course in high school. It is the bridge of mathematics and the life, which encourage the general high school students to participate in modeling activities, expand the aspect of knowledge, cultivate creative spirit and cooperation consciousness, promote mathematics teaching system, teaching content and method reform.Due to the high school has learned the simple linear programming knowledge. Therefore, cultivate the students’ ability of mathematics modeling by optimization modeling gradually, not only conforms to the students’ knowledge level, not too advanced and let the students. At the same time also can let students ponder the math problems combining the reality of life, to appreciate the beauty of mathematics application.Firstly, we studied the development and status of senior high school mathematical modeling at home and abroad, expounded the necessity of high school mathematical modeling teaching in China, and analyzed the important position of optimization modeling in mathematical modeling.Secondly, we introduced the optimization problem basicly, letting students know what is the optimization problem. Due to the linear programming problem is a part of the college entrance exam content, so in this paper, the optimization model will be introduced by a college entrance examination questions. Then through the instance, deep insight into the various concepts of programming problem. Here are a few kinds of common optimization problem, which include linear programming, integer programming and 0-1 programming, nonlinear programming and so on.The most distinctive part of this article is how to solve the optimization problem by computer. We will introduce how to use the LINGO software to solve optimization problem by some real cases. And then study some skills of solving the problems.In the appendix to this thesis will show a number of problems of the high school mathematics knowledge application and the college students’ mathematical modeling competition. Not only show the important status of optimization modeling, but also give a further practice, and the research on optimization of material.To sum up, the core aim of this paper is study how to combine theory and practice of high school mathematical modeling. Through the theoretical knowledge, analysis to the basic steps of the software, sufficient for the combination of theory with practice and comprehensive study. Eventually be able to achieve the purpose of is to be able to make any high school students will not only modeling, and solving by software, truly to practice rather than theory.